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Simplifying 1.4x + -0.6 = 0.2(5 + 3x) Reorder the terms: -0.6 + 1.4x = 0.2(5 + 3x) -0.6 + 1.4x = (5 * 0.2 + 3x * 0.2) -0.6 + 1.4x = (1 + 0.6x) Solving -0.6 + 1.4x = 1 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -0.6 + 1.4x + -0.6x = 1 + 0.6x + -0.6x Combine like terms: 1.4x + -0.6x = 0.8x -0.6 + 0.8x = 1 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.6 + 0.8x = 1 + 0.0 -0.6 + 0.8x = 1 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.8x = 1 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.8x = 1 + 0.6 0.8x = 1 + 0.6 Combine like terms: 1 + 0.6 = 1.6 0.8x = 1.6 Divide each side by '0.8'. x = 2 Simplifying x = 2
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